On the solution set of the nonconvex sweeping process

• Autorzy: Andrea Gavioli
• Języki publikacji: EN

Abstrakty

EN

We prove that the solutions of a sweeping process make up an $R_δ$-set under the following assumptions: the moving set C(t) has a lipschitzian retraction and, in the neighbourhood of each point x of its boundary, it can be seen as the epigraph of a lipschitzian function, in such a way that the diameter of the neighbourhood and the related Lipschitz constant do not depend on x and t. An application to the existence of periodic solutions is given.

Słowa kluczowe

EN

nonconvex; sweeping process; wedged

Kategorie tematyczne

• 34A60: Differential inclusions
• 34C25: Periodic solutions

• Wydawca: Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra
• Czasopismo: Discussiones Mathematicae, Differential Inclusions, Control and Optimization
• Rocznik: 1999
• Tom: 19
• Numer: 1-2
• Strony: 45-65

Daty

wydano

1999

otrzymano

1999-06-05

Twórcy

autor

Andrea Gavioli

• Dipartimento di Matematica Pura e Applicata, Universita di Modena, via Campi 213/B, 41100 Modena, Italy

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